Classify each of these statements as always true, sometimes true, or never true
11)sometimes true
12)Never True
11)Scientific notation is used to express large numbers in convenlent form.
12)Siginificant figures include all the digits that can be known accurately plus a last digit that must be estimated.
OK on the first, but on the second significant figures do not mean accurate, they mean precision.
If I measure the temp outside as 3.4545F, that is pretty precise (five sig figures), but it is very inaccurate. It is about 44F just now.
so the second one is always true?
true
No, the second statement is sometimes true. Significant figures represent the precision of a measurement, not necessarily the accuracy. In some cases, significant figures can include all the digits that can be known accurately, as well as an estimated last digit. However, it is not always the case that the last digit is estimated. It depends on the specific measurement and the level of precision required.
No, the second statement is actually sometimes true. Significant figures are used to indicate the precision of a measured value. The statement correctly states that significant figures include all the digits that can be known accurately, but it incorrectly suggests that the last digit is an estimation.
In scientific measurements, the significant figures are determined based on the measuring tool's precision. The last digit in a measurement is always uncertain or estimated, and it is determined based on the smallest division that the measuring tool can make. Therefore, significant figures indicate the level of precision and certainty in a measurement, not necessarily accuracy.
So, the correct classification for the second statement would be sometimes true.